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Ensemble averaged entanglement of two-particle states in Fock space

Jan Naudts·Tobias Verhulst
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Abstract

Recent results, extending the Schmidt decomposition theorem to wavefunctions of identical particles, are reviewed. They are used to give a definition of reduced density operators in the case of two identical particles. Next, a method is discussed to calculate time averaged entanglement. It is applied to a pair of identical electrons in an otherwise empty band of the Hubbard model, and to a pair of bosons in the the Bose-Hubbard model with infinite range hopping. The effect of degeneracy of the spectrum of the Hamiltonian on the average entanglement is emphasised.

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Jan Naudts, Tobias Verhulst. 2007-04-03. Ensemble averaged entanglement of two-particle states in Fock space. https://doi.org/10.1103/physreva.75.062104

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